Agriculture Reference
In-Depth Information
Example
The following information
pertains to the number of insects per 20 insects
that remained alive after the application of six
10.5.
different insecticides. Analyze the data to work
out the most efficient insecticide.
Insecticides
Replication 3
Replication 2
Replication 1
Replication 4
I1
3
5
1
3
I2
6
3
2
3
I3
6
7
5
5
I4
3
4
4
5
I5
9
8
7
8
I6
10
9
12
11
Solution. Information given in this problem is
in the form of small whole numbers, so violation
of assumption of ANOVA is suspected.
Insecticides
Replication 1
Replication 2
Replication 3
Replication 4
Average
I1
1
2
3
2
2
I2
2
5
4
4
3.75
I3
2
7
6
6
5.25
I4
1
5
4
6
4
I5
4
12
9
8
8.25
I6
12
6
10
11
9.75
Hence, a square root transformation will be
appropriate before taking up the analysis of
variance.
So from the given data table, we first make the
following table by taking the square roots of the
given observations. It may be noted that the data
set contains small whole number (
<
10); instead
p
, we have taken
p
ðX þ
of
0
:
5
Þ
.
Insecticides
Replication 1
Replication 2
Replication 3
Replication 4
I1
1.22474487
1.58113883
1.87083
1.58114
I2
1.58113883
2.34520788
2.12132
2.12132
I3
1.58113883
2.738612788
2.54951
2.54951
I4
1.22474487
2.34520788
2.12132
2.54951
I5
2.12132034
3.535533906
3.08221
2.91548
I6
3.53553391
2.549509757
3.24037
3.39116
Using MS Excel (as described in the previous
example) with the transformed data, we analyze
the above data to get the following ANOVA
table:
